The Angels gave up three prospects for Greinke in a July trade with the Milwaukee Brewers but failed to make the postseason.

Now the team faces the prospect of a rotation led by Jered Weaver and C.J. Wilson, but featuring little depth behind them. Before possibly losing out on Greinke, the Angels traded Ervin Santana to the Royals and let Dan Haren go.

The Angels did add to their bullpen on Tuesday, agreeing to a one-year deal with veteran reliever Ryan Madson, who is expected to be in the mix for the team’s closer role.